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Finding the Fourth Proportional to 211.26, 316.76 and 95.80

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Solution

The fourth proportional to 211.26, 316.76 and 95.80 is: 143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.26 : 316.76 = 95.80 : x
  2. Step 2: Convert to fraction form
    211.26/316.76 = 95.80/x
  3. Step 3: Cross multiply
    211.26x = 316.76 × 95.80
  4. Step 4: Simplify right side
    211.26x = 30,345.61
  5. Step 5: Solve for x
    x = 30,345.61/211.26
  6. Step 6: Final answer
    x = 143.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.